Management Science I
- Credits: 6
- Ending: Examination
- Range: 2P + 2C
- Semester: summer
- Year: 2, 3
- Faculty of Economic Informatics
Teachers
Included in study programs
Teaching results
Upon successful completion of the course, students will acquire the following knowledge:
- knowledge of optimization tools designed to analyze economic phenomena and processes,
- knowledge of optimization models and methods designed to model economic phenomena and processes,
- knowledge of optimization methods designed to evaluate and set strategies for economic processes.
Upon successful completion of the course, students will acquire the following skills:
- ability to use optimization models and methods,
- ability to work with adequate software to solve optimization problems.
Upon successful completion of the course, students will acquire the following competencies:
- practical skills and competences with the application of optimization models and methods in the analysis of economic problems in the field of economic practice using adequate software.
Indicative content
1. Quantitative approach to management. Management and operations research, mathematical models and methods in economics. Classification of standard models and methods. Stages of problem solving. Mathematical apparatus for basic models of operations research.
2. Structural models of the company. Basic structure of the model, direct and full consumption coefficients of internal and external sources.
3. Optimization methods for business management. Mathematical programming problems. The essence of linear programming. Formulation of linear programming problems. Geometric solution of linear programming problems.
4. Solving linear programming problems by simplex method.
5. Duality in linear programming problems. Economic interpretation of duality.
6. Sensitivity analysis of the optimal solution of the linear programming problem.
7. Transportation problems and their properties. Formulation of balanced and unbalanced transportation problems.
8. Assignment problems and their solutions.
9. Basic types of network analysis problems. Network analysis and linear programming. The problem of the shortest path in the network.
10. The essence of finding a critical path. CPM and PERT methods.
11. Inventory modeling. Nature and classification of inventory models. Deterministic inventory models. Inventory models without deficit and with deficit.
12. Modeling of queuing problems. Basic concepts and elements of queuing problem models. Basic models of queuing problems. Models without waiting. Queuing problem models with waiting - single-channel, multi-channel.
13. Optimization in queuing problem models.
Support literature
1. Brezina, I., Pekár, J.: Úvod do operačného výskumu I. Letra Edu. 2018.
2. Brezina, I., Pekár, J.: Úvod do operačného výskumu II. Letra Edu. 2019.
3. Brezina, I., Pekár, J: Operačná analýza v podnikovej praxi. Bratislava: Vydavateľstvo EKONÓM 2014
4. Ivaničová, Z., Brezina, I., Pekár, J.: Operačná analýza. Bratislava: IURA Edition 2007
5. Chocholatá, M., Čičková, Z., Furková, A.: Operačná analýza. Zbierka príkladov. Bratislava: IURA Edition 2008.
6. Ivaničová, Z., Brezina, I., Pekár, J.: Operačný výskum, IURA Edition, Bratislava 2002
7. Taha, H.A.: Operations Research: An Introduction 10th Edition. Prentice Hall, New Jersey 2017
8. Eiselt, H. A., Sandblom, Carl-Louis: Operations Research. Springer 2012.
Requirements to complete the course
30 % work at seminars and writing of projects
70 % combined final exam
Student workload
156 hours
26 hours lecture attendance
26 hours seminar attendance
26 hours preparation for lectures
26 hours preparation for seminars
26 hours writing a seminar paper
26 hours preparation for final exam
Language whose command is required to complete the course
Slovak
Date of approval: 11.03.2024
Date of the latest change: 17.05.2022